Randomizable Point Systems

G. S. Sukiasian
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G. S. Sukiasian: Armenian Academy of Sciences, Institute of Mathematics

A chapter in Stochastic and Integral Geometry, 1987, pp 83-95 from Springer

Abstract: Abstract This paper gives a survey of the theory of point-set randomizations with respect to a group. It is shown that only the so-called k-lattices are randomizable with respect to the parallel translations and all motions of the R n space. It is shown how the randomizability problems are connected with questions of the theory of discrete Lie groups and regular point systems. The results are applied to the construction of stationary random line processes.

Keywords: 60D05; 60G55; Stochastic geometry; random lattices; point processes; line processes; Palm distribution; regular point systems (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3921-9_6

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DOI: 10.1007/978-94-009-3921-9_6

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